Coming from the POV of a military family:
1. It’s all about how you present it. “How would you feel about moving to a different city?” leaves the door open for resentment if they say they don’t want to move and you do anyway.
It will go over much better if you present as
“We have exciting news! We are moving! It’s a great town I’ve heard SO many great things about!” The best part is we get to make more friends!”